SS Stinger,
Welcome to Predator Masters! 
Savage has a great "out-of-the-box" reputation for accuracy. So, this would cover the Stevens line of rifles too.
Stevens rifles make good carry rifles as they're very light weight. I own a Stevens in .25-06, that I use as a carry rifle, for coyotes. 
Not to push you off of the .243, but whatever it can do the .25-06 can do better...depending on what/where you're hunting.
More info from you is needed to be more precise in what would "fit" your situation.
Good hunting, Bowhunter57